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(1)11.1 Square Roots. 1. 11. 10. 4 and 5. 2. 20. 11. 11 and 12. 3. –12. 12. 11 and 12. 4. not real. 13. 16 and 17. 5. –15. 14. 9 and 10. 6. 16. 15. 3.6. 7. not real. 16. 7.3. 8. not real. 17. 9.4. 9. 3 and 4. 18. 9.7.  BJU Press. Unauthorized reproduction prohibited..

(2) 19. 12.0. 28. –3. 20. 16.7. 13 3. 21. 7 22. 8. 29.. 30. 27 31. 9. 23. 15 24. 12. 32.. 2 3. 25. 33. 33. 28. 26. –16. 34. 4. 27. 55. 35.. 6 5. Section 11.1  BJU Press. Unauthorized reproduction prohibited..

(3) 36. 37.. 26 9 54 7. 38. 5 and 7; no, they are not equal; a + b ≠ a + b. 44. y = 13 45. x = 16 46. x =. 2 11. 47. x =. 41 35. 48. x =. −7 207. 39. 22.7 40. 8.19 41. 30.9 ft.. 49. m = 2; (0, 3). 42. 12.9 ft.. 50. m = –4; 0,. 15 2. 43. 8.1 ft. Section 11.1  BJU Press. Unauthorized reproduction prohibited..

(4) 4 5. 51. m = − ; (0, 0). 53.. 52.. Section 11.1  BJU Press. Unauthorized reproduction prohibited..

(5) Problem Solving 11—Work Backwards. 1. $825. 5. 13. 2. 7,183 people. 6. $400,000; $66,666.67. 3. 20 players. 7. $300. 4. 24 steps. 8. $48.  BJU Press. Unauthorized reproduction prohibited..

(6) 11.2 Radical Equations. 1. x = 16. 10. no real solution. 2. x = 400. 11. x = 256. 3. x = 225. 12. no real solution. 4. x = 6.25. 13. no real solution. 5. x = 324. 14. x = 121. 6. no real solution. 15. x = 300. 7. x = 36 8. x = 25 9. x = 16  BJU Press. Unauthorized reproduction prohibited.. 16. x = 480.5 or 17. x = 144. 961 2.

(7) 18. x = –4 19. x =. 4 3. 20. x = 12 21. x = 398 22. x =. 29 5. 26. x = –620 27. x = 33.5 28. no real solution 29. no real solution 30. x = 8 31. n = 36. 23. no real solution. 32. n = 18. 112 3. 33. n = 25. 24. x =. 25. x = –18. 34. n = 137 Section 11.2.  BJU Press. Unauthorized reproduction prohibited..

(8) 35. When the isolated radical equals a negative number, then there will be no solution because the principal (or positive) square root cannot be a negative number.. 37.. 36. 950 ft. Between 8 and 9 seconds, and between 1100 and 1200 ft.. Section 11.2  BJU Press. Unauthorized reproduction prohibited..

(9) 38. Based on the graph, the arrow travels between 2,200 and 2,400 ft. in about 17 sec. Actual total flight time is 16.875 sec. Total distance traveled is 2278.12 ft. 39. $72; $522 40. $2,967; $15,867. 42. $275.90; $1,165.90 43. $8.58; $33.08 44. 18 45. 63 46. 63 47. 54 and 63 48. 76. 41. $1.84; $6.43. Section 11.2  BJU Press. Unauthorized reproduction prohibited..

(10) 11.3 Equations with Exponents. 1. x = ±12. 9. x = ± 66. 2. x = ±13. 10. x = ± 37. 3. no real solution. 11. no real solution. 4. x = ±11. 12. x = ±4. 5. x = ±8. 13. x = ± 11. 6. no real solution. 14. no real solution. 7. x = ±10. 15. x = ± 13. 8. x = ±14. 16. x = ± 15.  BJU Press. Unauthorized reproduction prohibited..

(11) 17. x = ± 13. 26. x = ± 10.9. 18. x = ± 59. 27. x = ± 3. 19. no real solution. 28. x = ± 150. 20. x = ± 61. 29. x = ±6. 21. x = ± 35. 30. x = ±12. 22. x = ±4. 31. x = –8, 0. 23. x = ±6. 32. x = –1, 6. 24. no real solution. 33. x = ,. 3 5 2 6. 25. x = ± 10 Section 11.3  BJU Press. Unauthorized reproduction prohibited..

(12) 34. x = ± 50 35. x = ± 60. 42.. 15 16. hr.. 3 4. 43. 6 hr. each day 36. 2.06 sec. 37. about 370 ft. 38. 70.8 mi./hr.. 44. oranges: $1.89; apples: $5.67. 39. 136.5 ft.. 45. 28 pens, 56 pencils, and 14 erasers. 40. 0.35 sec.. 46. 2,592. 41. 6. 13 24. yd.. 47. 432 48. 20 Section 11.3.  BJU Press. Unauthorized reproduction prohibited..

(13) 49. 3,060 50. 2,203,200. Section 11.3  BJU Press. Unauthorized reproduction prohibited..

(14) 11.4 The Pythagorean Theorem. 1. 20. 9. 18. 2. 52. 10. 48. 3.. 41 ≈ 6.4. 11. 6. 4.. 117 ≈ 10.8. 12.. 33 ≈ 5.7. 5.. 200 ≈ 14.1. 13.. 56 ≈ 7.5. 6. 29. 14.. 60 ≈ 7.7. 7. 26. 15. 70. 8.. 170 ≈ 13.0.  BJU Press. Unauthorized reproduction prohibited.. 16. 24.

(15) 17. no. 25. 15.5 ft.. 18. yes. 26. 173.4 ft.. 19. no. 27. 127.3 ft.. 20. yes. 28. no. 21. yes. 29. 16 ft. × 10 ft.. 22. yes. 30. 64.5 ft.. 23. yes. 31. 92 in.. 24. no. 32. lower quartile: 2; median: 4.5; upper quartile: 6.5 Section 11.4.  BJU Press. Unauthorized reproduction prohibited..

(16) 33.. 36. 15 37. 105. 34. mean: 5.05; mode: 6. 38. 255,024. 35. range: 16; interquartile range: 4.5. 39. 10,626 40. 924 41. 720. Section 11.4  BJU Press. Unauthorized reproduction prohibited..

(17) 11.5 Products and Quotients of Radicals. 1. 70. 9. 6 6. 2. 80. 10. 7 2. 3. 100. 11. 7 6. 4. 200 5. 140 6. 150 7. 5 3 8. 3 5.  BJU Press. Unauthorized reproduction prohibited.. 12. 2 21 13.. 6. 14.. 35. 15. 3 2 16. 3 5.

(18) 17. 29 2 18. 2 17 19. 3 70 20. 6 6 21. 20 21 22. 60 23.. 10. 24.. 29. 25.. 1 3. 26. 4 27. 5 5 28.. 5. 29.. 5. 30. 2 31. 32.. 5 2 3. Section 11.5  BJU Press. Unauthorized reproduction prohibited..

(19) 33. xy. 39.. 34. xy2 x 35. x ≥ 0 36. x < 0 37. 19.25 ft. 38. 38.2 ft.. 40. not significant Section 11.5  BJU Press. Unauthorized reproduction prohibited..

(20) 41.. 1 2. 42.. 5 24. = 0.5 ≈ 0.21. 10 117. 35 78. ≈ 0.45. 46. 1205 47. 145. 43. 234 44.. 45.. ≈ 0.09. Section 11.5  BJU Press. Unauthorized reproduction prohibited..

(21) 11.6 Sums and Differences of Radicals. 1. 13 17. 9.. 6+7 3. 2. −2 11. 10. − 13 + 7 7. 3. 10 6. 11. 18. 4. 8 5. 12. –2. 5. 23 6. 13. 0. 6. −3 3. 14. –7 3. 7. 15 3 − 3 2. 15. –4 2. 8. 9 7 − 5 5. 16. 13 5.  BJU Press. Unauthorized reproduction prohibited..

(22) 17. 46 2 18. 3 3 19. 42 5 – 12 3 20. 21 10 + 80 21. 19 2 – 8 5 22. 13 7 + 37 3 23. –2 6 + 8 3 24. 6 3 – 2 5 – 3 2. 25. 5 2 + 3 3 + 3 5 + 3 6 26. 23 7 – 15 5 – 10 3 27. 6 6 + 24 28. 3 42 − 15 2 29. 12 5 + 12 30. 216 6 31. 5 32. 2 2 − 3 Section 11.6.  BJU Press. Unauthorized reproduction prohibited..

(23) 33. 12.8 M (14.7 mi.). 37.. 34. 3.14 sec.; 2.22 sec. 35. 3.24 ft. 36. 6 6 7 7 1 5 6 6 6 8 9 8 0 2 3 5 8 8 9 7. 38. 10112 39. 10012 40. 11002 41. 100102. Section 11.6  BJU Press. Unauthorized reproduction prohibited..

(24) 1 42. – b 4 6 43. – y 7 2 44. – z 15 185 17 45. – v = –7 v 24 24. Section 11.6  BJU Press. Unauthorized reproduction prohibited..

(25) 11.7 Cube Roots. 1. true 2. x. 1. 2. 3. 4. x3. 1. 8. 27. 64. 5. 6. 7. 9. 10. 125 216 343 512 729 1,000. 3. –27. 8. 1,331. 4. –27. 9. –729. 5. –9. 10. –216. 6. 9. 11. 512. 7. 343. 12. –64,000.  BJU Press. Unauthorized reproduction prohibited.. 8.

(26) 13. 2 and 3. 22. 8. 14. 4 and 5. 23. 10. 15. 5 and 6. 24. –1. 16. 4 and 5. 25. –2. 17. 2 and 3. 26. 12. 18. 5 and 6. 27. 13. 19. –3. 28. 3.4. 20. 7. 29. 2.5. 21. 4. 30. –2.1 Section 11.7.  BJU Press. Unauthorized reproduction prohibited..

(27) 31. 3.8. 39. −6 3 6. 32. 4.6. 40. 6. 33. –1.3. 41. −10 3 21. 34. 3 3 10. 42. 5 3 3. 35. 5 3 3. 43. 3 3 2 + 10 3 5. 36. −2 3 2. 44.. 37. 2 3 100. 45. 50. 11. 38. 14 3 2. Section 11.7  BJU Press. Unauthorized reproduction prohibited..

(28) 46. basketball: 115.2°; football: 93.6°; baseball: 57.6°; soccer: 50.4°; track: 43.2°. 47.. Section 11.7  BJU Press. Unauthorized reproduction prohibited..

(29) 48. 6, 7, and 8. 52. x > –2. 49. 1 mi./hr. 50. a = 8 m/s2. 53. x > 4. 51. x ≥ 1 54. x ≤ –1. Section 11.7  BJU Press. Unauthorized reproduction prohibited..

(30) Math and Scripture 11. 1. the bride, the Lamb's wife 2. the New Jerusalem 3. Sometimes a physical object will stand for a person or class of people (e.g., the White House is often used in news releases to refer to the president of the United States)..  BJU Press. Unauthorized reproduction prohibited.. 4. twelve gates; three on each of the four sides 5. 1,380 to 1,500 mi. (12,000 furlongs) for the length, width and height, making it a cube 6. 144 cubits = 216 ft. 7. 18 stories 8. 15003 = 3.375 × 109 mi.3.

(31) 9. He loves beauty, He is infinitely wealthy, and He is incomparably generous in His love and care for the bride of Christ.. Math and Scripture 11  BJU Press. Unauthorized reproduction prohibited..

(32) Chapter 11 Review. 1. 14. 9. 3 and 4. 2. not real. 10. –13 and –12. 3. not real. 11. 3 and 4. 4. –4. 12. –5 and –4. 5. 13. 13. 4.6. 6.. 22 3. 7. 15 8. 12. 14. 10.8 15. x = 9 16. x = 2.89 17. no real solution.  BJU Press. Unauthorized reproduction prohibited..

(33) 18. x = 3. 27. no. 19. x = ±9. 28. yes. 20. x = ± 2 2. 29. 90. 21. x = ±6. 30. 500. 22. no real solution. 31. 6 7. 23. 17. 32. 4 5. 24. 5 2 ≈ 7.1. 33. 6 5. 25. 16. 34. 30 6. 26. 3 3 ≈ 5.2. 35. 3 2 Chapter 11 Review.  BJU Press. Unauthorized reproduction prohibited..

(34) 5 36. 11. 42. –64 43. 125. 37.. 2. 38. 5 3 39. 10 5 – 6 7 40. 4 2 41. 19 3 – 2 5. 44. –1 45. 6 46. 11 47. The New Jerusalem is a cube, 12,000 furlongs in each dimension.. Chapter 11 Review  BJU Press. Unauthorized reproduction prohibited..

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